About the defects of curves holomorphic in the half plane.
Hossain, Moqbul (1985)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On holomorphic functions with certain extremal properties of its absolute values.”
About the defects of curves holomorphic in the half plane.
Analytic functions
Stanisław Saks, Antoni Zygmund
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CONTENTS PREFACE................................... III PREFACE TO THE ENGLISH EDITION................................... VII INTRODUCTION. THEORY OF SETS § 1. Fundamental definitions................................... 1 § 2. Denumerable sets................................... 3 § 3. Abstract topological space................................... 4 § 4. Closed and open sets................................... 6 § 5. Connected sets................................... 11 § 6. Compact sets......................................
Extension theorems of Sakai type for separately holomorphic and meromorphic functions
Peter Pflug, Viêt Anh Nguyên (2003)
Annales Polonici Mathematici
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We first exhibit counterexamples to some open questions related to a theorem of Sakai. Then we establish an extension theorem of Sakai type for separately holomorphic/meromorphic functions.
Schwarzian derivatives of topologically finite meromorphic functions.
Epstein, Adam Lawrence (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Some unsolved problems on meromorphic functions of uniformly bounded characteristic.
Yamashita, Shinji (1985)
International Journal of Mathematics and Mathematical Sciences
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Representation Theorems for Functions Holomorphic and Meromorphic in the Unit Disk.
Philip Pratt (1972)
Mathematische Zeitschrift
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On unique range sets of meromorphic functions in
Xiao-Tian Bai, Qi Han (2007)
Archivum Mathematicum
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By considering a question proposed by F. Gross concerning unique range sets of entire functions in , we study the unicity of meromorphic functions in that share three distinct finite sets CM and obtain some results which reduce to .
Notes on meromorphic dynamical systems, III
Otomar Hájek (1966)
Czechoslovak Mathematical Journal
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Relative Inverses of Meromorphic Operator Functions and Associated Holomorphic Projection Function.
M.A. Kaashoek, H. Bart, D.C. Lay (1975)
Mathematische Annalen
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Normal families of bicomplex meromorphic functions
Kuldeep Singh Charak, Dominic Rochon, Narinder Sharma (2012)
Annales Polonici Mathematici
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We introduce the extended bicomplex plane 𝕋̅, its geometric model: the bicomplex Riemann sphere, and the bicomplex chordal metric that enables us to talk about convergence of sequences of bicomplex meromorphic functions. Hence the concept of normality of a family of bicomplex meromorphic functions on bicomplex domains emerges. Besides obtaining a normality criterion for such families, the bicomplex analog of the Montel theorem for meromorphic functions and the fundamental normality...